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Measuring comovements by regression quantiles

  • Cappiello, Lorenzo
  • Gérard, Bruno
  • Manganelli, Simone

This paper develops a rigorous econometric framework to investigate the structure of codependence between random variables and to test whether it changes over time. Our approach is based on the computation - over both a test and a benchmark period - of the conditional probability that a random variable yt is lower than a given quantile, when the other random variable xt is also lower than its corresponding quantile, for any set of prespecified quantiles. Time-varying conditional quantiles are modeled via regression quantiles. The conditional probability is estimated through a simple OLS regression. We illustrate the methodology by investigating the impact of the crises of the 1990s on the major Latin American equity markets returns. Our results document significant increases in equity return co-movements during crises consistent with the presence of financial contagion. JEL Classification: C14, C22, G15

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Paper provided by European Central Bank in its series Working Paper Series with number 0501.

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Date of creation: Jul 2005
Date of revision:
Handle: RePEc:ecb:ecbwps:20050501
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  1. Eichengreen, Barry & Rose, Andrew K & Wyplosz, Charles, 1996. "Contagious Currency Crises," CEPR Discussion Papers 1453, C.E.P.R. Discussion Papers.
  2. de Bandt, Olivier & Hartmann, Philipp, 2000. "Systemic Risk: A Survey," CEPR Discussion Papers 2634, C.E.P.R. Discussion Papers.
  3. Engle, Robert F & Manganelli, Simone, 1999. "CAViaR: Conditional Autoregressive Value at Risk by Regression Quantiles," University of California at San Diego, Economics Working Paper Series qt06m3d6nv, Department of Economics, UC San Diego.
  4. Vance L. Martin & Brenda Gonzalez-Hermosillo, & Mardi Dungey & Renee A. Fry, 2004. "Empirical Modelling of Contagion: A Review of Methodologies," Econometric Society 2004 Australasian Meetings 243, Econometric Society.
  5. Alessandro Rebucci, 2003. "Measuring Contagion With A Bayesian Time-Varying Coefficient Model," Working Papers. Serie AD 2003-20, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  6. Len Umantsev & Victor Chernozhukov, 2001. "Conditional value-at-risk: Aspects of modeling and estimation," Empirical Economics, Springer, vol. 26(1), pages 271-292.
  7. Kee-Hong Bae & G. Andrew Karolyi & Rene M. Stulz, 2001. "A new approach to measuring financial contagion," Proceedings 743, Federal Reserve Bank of Chicago.
  8. Andrew Ang & Geert Bekaert, 2002. "International Asset Allocation With Regime Shifts," Review of Financial Studies, Society for Financial Studies, vol. 15(4), pages 1137-1187.
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